The number 11072
11072 is a composite number with 14 divisors. Its prime factorisation is × 173. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 173, 346, 692, 1384, 2768, 5536, 11072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11072 is composite. Its prime factorisation is
- 3
The divisors add up to 22098; without 11072 itself that is 11026, so 11072 is deficient (11026 is less than 11072). Euler's totient φ(11072) = 5504 numbers up to 11072 share no factor with it.
- 4
The digits of 11072 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11072 = 2^{6} \times 173 \]11072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 22098 |
| Euler totient φ(n) | 5504 |
| Square | 122589184 |
| Cube | 1357307445248 |
| Square root | 105.223572 (= 8√173) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.1072 × |
11072 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and seventy-two |
| Binary (base 2) | 10101101000000 |
| Octal (base 8) | 25500 |
| Hexadecimal (base 16) | 2B40 |
| Base 3 | 120012002 |
| As time | 11072 seconds = 3 h 4 min 32 s |
Is 11072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11072 ÷ 2 = 5536) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11072 ÷ 4 = 2768) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (11072 ÷ 8 = 1384) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11072 a prime number?
No. 11072 = × 173, so it is divisible by 2.
What are the factors of 11072?
1, 2, 4, 8, 16, 32, 64, 173, 346, 692, 1384, 2768, 5536, 11072.
What is 11072 in binary?
10101101000000 (hexadecimal 2B40, octal 25500).
What is the square root of 11072?
About 105.2236, exactly 8√173.
Is 11072 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 11072?
It is a composite number with 14 divisors.